GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 331:

• JAMB 1991

A flagstaff stands on the top of a vertical tower. A man standing 60 m away from the tower observes that the angles of elevation of the top and bottom of the flagstaff are 64^o and 62^o respectively. Find the length of the flagstaff.

A. 60 (tan 62^o - tan 64^o)
B. 60 (cot 64^o - cot 62^o)
C. 60 (cot 62^o - cot 64^o)
D. 60 (tan 64^o - tan 62^o)

Question 332:

• JAMB 1991

Simplify \(\cos^{2} x (\sec^{2} x + \sec^{2} x \tan^{2} x)\)

A. Tan x
B. Tanx secx
C. \(\sec^2 x\)
D. Cosec²x

Question 333:

• JAMB 1991

If cos x = \(\sqrt{\frac{a}{b}}\) find cosec x

A. \(\frac{b}{\sqrt{b - a}}\)
B. \(\sqrt{\frac{b}{a}}\)
C. \(\sqrt{\frac{b}{b - a}}\)
D. \(\sqrt{\frac{b - a}{a}}\)

Question 334:

• JAMB 1991

From a point Z, 60 m north of X, a man walks 60√3m eastwards to another point Y. Find the bearing of Y from X.

A. 0.30^o
B. 045^o
C. 060^o
D. 090^o

Question 335:

• JAMB 1991

Find the total area of the surface of a solid cylinder whose base radius is 4cm and height is 5cm

A. 56\(\pi\) cm²
B. 72\(\pi\) cm²
C. 96\(\pi\) cm²
D. 192\(\pi\) cm²